Large-N crossover in Large-N spin models
Abstract:
We investigate large-N spin models that parallel the Sachdev–Ye–Kitaev construction and provide a controlled setting for studying many-body chaos. By implementing a Pandey–Mehta–type large-N crossover, we interpolate between distinct random-matrix universality classes and track how spectral correlations evolve with the crossover parameter. Using the adjacent-level spacing r-ratio and Krylov complexity as complementary probes of static and dynamical chaos, we demonstrate a clear progression from weakly correlated spectra to fully developed quantum scrambling.
We investigate large-N spin models that parallel the Sachdev–Ye–Kitaev construction and provide a controlled setting for studying many-body chaos. By implementing a Pandey–Mehta–type large-N crossover, we interpolate between distinct random-matrix universality classes and track how spectral correlations evolve with the crossover parameter. Using the adjacent-level spacing r-ratio and Krylov complexity as complementary probes of static and dynamical chaos, we demonstrate a clear progression from weakly correlated spectra to fully developed quantum scrambling.
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